Relevant bibliographies by topics / Slip boundary condition

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Slip boundary condition'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 June 2025

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Journal articles on the topic "Slip boundary condition"

1

Raghunandana, John, and Kanthraj. "Stability of Journal Bearings Considering Slip Condition: A Non Linear Transient Analysis." Asian Journal of Engineering and Applied Technology 1, no. 2 (2012): 26–30. http://dx.doi.org/10.51983/ajeat-2012.1.2.2493.

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The no-slip boundary condition is the foundation of traditional lubrication theory. For most practical applications the no-slip boundary condition is a good model for predicting fluid behavior. However, recent experimental research has found that for special engineered surfaces the no-slip boundary condition is not applicable. In the present study the non linear transient analysis of an engineered slip/no-slip surface on journal bearing performance is examined. Numerical Analysis is carried out by solving the modified Reynolds equation satisfying the boundary conditions using successive over relaxation scheme in a finite difference grid which gives the steady state pressure. An attempt is made to evaluate the mass parameter (a measure of stability) besides finding out the steady-state characteristics of the finite journal bearing.
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Borzenko, Evgeny, and Olga Dyakova. "Numerical Simulation of Newtonian Fluid Flow in a T-Channel with no Slip/Slip Boundary Conditions on a Solid Wall." Key Engineering Materials 743 (July 2017): 480–85. http://dx.doi.org/10.4028/www.scientific.net/kem.743.480.

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The planar flow of a Newtonian incompressible fluid in a T-shaped channel is investigated. Three fluid interaction models with solid walls are considered: no slip boundary condition, Navier slip boundary condition and slip boundary condition with slip yield stress. The fluid flow is provided by uniform pressure profiles at the boundary sections of the channel. The problem is numerically solved using a finite difference method based on the SIMPLE procedure. Characteristic flow regimes have been found for the described models of liquid interaction with solid walls. The estimation of the influence of the Reynolds number, pressure applied to the boundary sections and the parameters of these models on the flow pattern was performed. The criterial dependences describing main characteristics of the flow under conditions of the present work have been demonstrated.
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3

Abbatiello, Anna, Miroslav Bulíček, and Erika Maringová. "On the dynamic slip boundary condition for Navier–Stokes-like problems." Mathematical Models and Methods in Applied Sciences 31, no. 11 (2021): 2165–212. http://dx.doi.org/10.1142/s0218202521500470.

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The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface. Still the assumption of the no-slip condition is preferred in order to avoid boundary terms in the analysis and slipping effects are usually overlooked. Besides the “static slip models”, there are phenomena that are not accurately described by them, e.g. at the moment when the slip changes rapidly, the wall shear stress and the slip can exhibit a sudden overshoot and subsequent relaxation. When these effects become significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical analysis of Navier–Stokes-like problems with a dynamic slip boundary condition, which requires a proper generalization of the Gelfand triplet and the corresponding function space setting.
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Hasegawa, Masato, Takumi Shimizu, Yoshio Matsui, and Hisanori Ueno. "Analysis of drag reduction with slip/no-slip boundary condition." Proceedings of Conference of Hokuriku-Shinetsu Branch 2004.41 (2004): 79–80. http://dx.doi.org/10.1299/jsmehs.2004.41.79.

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Duan, Jin Xi, and Z. Shen. "Elastic Seismic Response of Steel-Concrete Composite Frames with Partial Interaction." Applied Mechanics and Materials 268-270 (December 2012): 729–32. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.729.

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The finite element formulations of steel-concrete composite (SCC) beams considering interlayer slip with end shear restraint is established. Elastic seismic response of SCC frame structures under different shear connection stiffness and slip boundary conditions are examined. The influences of the shear connection stiffness and the slip boundary condition on elastic seismic response are analyzed. With the shear connection stiffness increasing, the free vibration frequencies increase and the seismic responses decrease. The natural vibration properties of SCC frame structures and seismic responses are also significantly affected by the slip boundary condition, and it should be properly imposed on all composite beams in seismic response analysis.
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LE ROUX, C. "STEADY STOKES FLOWS WITH THRESHOLD SLIP BOUNDARY CONDITIONS." Mathematical Models and Methods in Applied Sciences 15, no. 08 (2005): 1141–68. http://dx.doi.org/10.1142/s0218202505000686.

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We prove the existence, uniqueness and continuous dependence on the data of weak solutions to boundary-value problems that model steady flows of incompressible Newtonian fluids with wall slip in bounded domains. The flows satisfy the Stokes equations and a nonlinear slip boundary condition: for slip to occur, the magnitude of the tangential traction must exceed a prescribed threshold, which is independent of the normal stress, and where slip occurs the tangential traction is equal to a prescribed, possibly nonlinear, function of the slip velocity. In addition, a Dirichlet condition is imposed on a component of the boundary if the domain is rotationally symmetric. The method of proof is based on a variational inequality formulation of the problem and fixed point arguments which utilize wellposedness results for the Stokes problem with a slip condition of the "friction type".
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7

MATTHEWS, MICCAL T., and KAREN M. HASTIE. "AN ANALYTICAL AND NUMERICAL STUDY OF UNSTEADY CHANNEL FLOW WITH SLIP." ANZIAM Journal 53, no. 4 (2012): 321–36. http://dx.doi.org/10.1017/s1446181112000272.

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AbstractA theoretical investigation of the unsteady flow of a Newtonian fluid through a channel is presented using an alternative boundary condition to the standard no-slip condition, namely the Navier boundary condition, independently proposed over a hundred years ago by both Navier and Maxwell. This boundary condition contains an extra parameter called the slip length, and the most general case of a constant but different slip length on each channel wall is studied. An analytical solution for the velocity distribution through the channel is obtained via a Fourier series, and is used as a benchmark for numerical simulations performed utilizing a finite element analysis modified with a penalty method to implement the slip boundary condition. Comparison between the analytical and numerical solution shows excellent agreement for all combinations of slip lengths considered.
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8

Xia, Jun, Z. Shen, and Bin Chen. "Dynamic Analysis of Steel-Concrete Composite Frames with Partial Interaction." Advanced Materials Research 594-597 (November 2012): 904–7. http://dx.doi.org/10.4028/www.scientific.net/amr.594-597.904.

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The finite element formulations of steel-concrete composite (SCC) beams considering interlayer slip with end shear restraint were established. Free vibrations of SCC beams and frame structures under different slip boundary conditions were examined. The influences of the shear connection stiffness and the slip boundary condition on dynamic characteristics were analyzed. It is shown that the low order 8-DOF element may exhibit slip locking phenomenon in free vibration analysis for very stiff connection. The free vibration frequencies of composite beams and frame structures increase with the shear connection stiffness increasing. Besides, it is found that the natural vibration properties of SCC frame structures are significantly affected by the slip boundary condition, and it should be suitably imposed on all composite beams in dynamic analysis.
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Durbin, P. A. "Considerations on the moving contact-line singularity, with application to frictional drag on a slender drop." Journal of Fluid Mechanics 197 (December 1988): 157–69. http://dx.doi.org/10.1017/s0022112088003210.

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It has previously been shown that the no-slip boundary condition leads to a singularity at a moving contact line and that this forces one to admit some form of slip. Present considerations on the energetics of slip due to shear stress lead to a yield stress boundary condition. A model for the distortion of the liquid state near solid boundaries gives a physical basis for this boundary condition. The yield stress condition is illustrated by an analysis of a slender drop rolling down an incline. That analysis provides a formula for the frictional drag resisting the drop movement. With the present boundary condition the length of the slip region becomes a property of the fluid flow.
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Gu, Yandong, Jinwu Cheng, Hao Sun, Ao Liang, and Li Cheng. "A Three-Dimensional Slip Velocity Model for Water-Lubricated Hydrodynamic Journal Bearings." Journal of Marine Science and Engineering 10, no. 7 (2022): 927. http://dx.doi.org/10.3390/jmse10070927.

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Hydrodynamic journal bearings, coated with polytetrafluoroethylene (PTFE) and lubricated by water, have been widely used in ships and large-scale pumps, and the function is to maintain the stability of rotor system. However, slip velocity exists on the PTFE-coated surface, whose effect is still an open question. This study aims to investigate the static characteristics of water-lubricated hydrodynamic journal bearings under three-dimensional slip velocity boundary conditions. Firstly, under the non-slip boundary condition, the CFD (computational fluid dynamics) method with ANSYS Fluent is verified based on the Reynolds lubrication equation and the open literature. Then, a three-dimensional slip velocity equation that is based on the Navier slip velocity boundary condition is proposed and embedded into Fluent. Finally, the effects of slip length on the static characteristics are analyzed. Under the same eccentricity ratio, with the increase in slip length, the load capacity decreases due to the decrease of the pressure circumferential gradient, and the friction power decreases. Under the same eccentricity ratio and the same slip length, with the increase in the attitude angle, the load capacity and friction power increase. However, under the non-slip boundary condition, the effects of attitude angle on the load capacity and friction power are insignificant. This paper could provide a reference for studying slip velocity in the hydrodynamic journal bearing.
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Dissertations / Theses on the topic "Slip boundary condition"

1

Fortier, Alicia Elena. "Numerical Simulation of Hydrodynamic Bearings with Engineered Slip/No-Slip Surfaces." Thesis, Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/4929.

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The no-slip boundary condition is the foundation of traditional lubrication theory. It says that fluid adjacent to a solid boundary has zero velocity relative to that solid surface. For most practical applications the no-slip boundary condition is a good model for predicting fluid behavior. However, recent experimental research has found that for special engineered surfaces the no-slip boundary condition is not applicable. Measured velocity profiles suggest that slip is occurring at the interface. In the present study, it is found that judicious application of slip to a bearings surface can lead to improved bearing performance. The focus of this thesis is to analyze the effect an engineered slip/no-slip surface could have on hydrodynamic bearing performance. A heterogeneous pattern is applied to the bearing surface in which slip occurs in certain regions and is absent in others. Analysis is performed numerically for both plane pad slider bearings and journal bearings. The performance parameters evaluated for the bearings are load carrying capacity, side leakage rate and friction force. Fluid slip is assumed to occur according to the Navier relation and the effect of a critical value for slip onset is considered.
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Honig, Christopher David Frederick. "Validation of the no slip boundary condition at solid-liquid interfaces." Connect to thesis, 2008. http://repository.unimelb.edu.au/10187/3612.

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This thesis describes the study of the hydrodynamic boundary condition at the solid-liquid interface using the colloidal probe Atomic Force Microscope. Quantitative comparison between measured lubrication forces and theoretical lubrication forces show that the measured forces agree with theory when the no slip boundary condition is employed. We measure an effective slip length of 0 ± 2 nm at shear rates up to 250,000 sec-1. Our results are consistent with the Taylor lubrication equation without the need to invoke a slip length fitting parameter. Our results are also consistent with molecular dynamic simulations that predict no slip at the shear rates that are currently experimentally accessible.
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Sutherland, Duncan. "Numerical study of vortex generation in bounded flows with no-slip and partial slip boundary conditions." Thesis, The University of Sydney, 2014. http://hdl.handle.net/2123/11778.

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The main contributions of this thesis are an investigation of the effect of slip on dipole-wall collisions and a study of topological changes in two-dimensional bounded flows. The Navier-Stokes equations in the streamfunction-vorticity formulation are solved in both a channel domain, periodic in the streamwise direction and also in a disc domain, with either no-slip or Navier boundary conditions. Navier boundary conditions permit some fluid slip along the wall. The normal velocity component at the wall is always zero, but the tangential component of velocity is proportional to the rate of strain at the boundary, with the constant of proportionality identified as the slip length. Recently, Romain Nguyen van yen, Marie Farge, and Kai Schneider, ``Energy dissipating structures produced by walls in two-dimensional flows at vanishing viscosity'', Physical Review Letters, 106:184502, 2011 investigated the problem of a dipole incident on a rigid boundary using a volume penalisation method. The volume penalisation method approximates a no-slip boundary condition and intrinsically introduces some slip at the boundary, which vanishes as the Reynolds number increases. Their results indicate that energy dissipating structures persist in the vanishing viscosity limit. Here a similar problem was investigated using Fourier collocation techniques in the streamwise direction, and a compact finite difference method in the direction normal to the wall. The boundary conditions were enforced using a linear superposition technique called the influence matrix method, modified to treat Navier boundary conditions. For the no-slip boundary condition no evidence of energy dissipating structures was found in the limit as the viscosity approaches zero, and this result also holds for any fixed slip length. However when the slip length was taken to vary inversely with Reynolds number, the results of Nguyen van yen et al were recovered. To investigate the production of enstrophy at the wall it is useful to track the minima, maxima, and saddle points of the vorticity and streamfunction. As coherent structures of vorticity approach near the wall, vorticity is generated at the wall to satisfy the no-slip or Navier boundary conditions and injected into the domain. The flow throughout the domain may be classified into regions dominated by coherent vortices, and regions dominated by filamentary stretching by a condition called the Okubu-Weiss criterion. The Okubu-Weiss criterion can be derived by considering the linear stability of the stagnation points of the flow, and it can be considered as a measure of curvature of the streamfunction. The Gaussian curvature of both the streamfunction and vorticity can be used to directly classify the flow into hyperbolic and elliptical regions. The curvature of the streamfunction is essentially a modification of the Okubu-Weiss criterion and can be interpreted as a balance between vorticity and strain, but the curvature of the vorticity does not appear to have a simple physical interpretation. The Gauss-Bonnet theorem shows that the total Gaussian curvature of both vorticity and streamfunction vanishes for a doubly-periodic domain and for the channel domain. For a disc domain it is possible to derive similar conservation laws. In the channel domain and a disc domain, the total curvature of the streamfunction vanishes, but for the vorticity there is an additional contribution from the curvature of the boundary. The generation and merger of critical points in bounded flows was monitored in an observational study. In an unbounded domain, the well-known forward energy cascade forces energy to large spatial scales. Large numbers of small scale vortices will therefore merge into domain-filling structures. In bounded domains, the wall acts as a source of enstrophy which constantly injects small scale vortices that disturb the formation of organised, domain-filling circulation cells. Fayeza Al Sulti and Koji Ohkitani, ``Vortex merger and topological changes in two-dimensional turbulence'', Physical Review E, 86.1 016309, 2012 studied vortex merger in unbounded domains by counting the number of elliptic and hyperbolic critical points of vorticity and streamfunction. To identify and classify the critical points Al Sulti and Ohkitani used the zeros of gradient of the field and the eigenvalues of the Hessian matrix at those points. In this thesis a new algorithm is developed, based on estimating the the Poincaré-Hopf index near potential critical points. This algorithm avoids the difficulties of identifying the zeros of gradient of the field, instead only local minima are required. Results showing the motion of critical points in time and the variation in the number of critical points over the simulation for a channel geometry are presented. In addition to the overall theme of the effect of the boundary conditions on the interior flow, the influence matrix method has been improved into a powerful and efficient numerical method for studying viscous fluid flow. The extension to generalised boundary conditions also allows a careful comparison of the volume penalisation method, with its intrinsic approximation to no-slip boundary conditions, against methods that enforce the no-slip boundary conditions exactly.
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Seo, Dongjin. "Measurement and Control of Slip-Flow Boundary Conditions at Solid-Gas Interfaces." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/50650.

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This thesis describes measurements of the gas-solid flow boundary condition at moderate Knudsen number, i.e., where the dimensions of the flow are similar to the mean free path, and thus partial slip is expected. This regime has become more important with increased focus on nano-scale devices, but there is currently no consensus on how the slip length should vary for different solids and gases, or whether it can be controlled. In this thesis, I describe unambiguous measurements showing that partial slip occurs, that the slip length depends both on gas and solid, and that the slip length can be altered in situ. The slip length is determined from analysis of the vibration of a small sphere adjacent to a solid. I also describe applications of these findings both to the separation of gases, and to inhalants. The effect of water films, gas species, organic films, and electric fields on gas flow was studied. Water films had a large, but complex effect. On bare hydrophobilic glass, the tangential momentum accommodation coefficient (TMAC) for nitrogen on hydroxyl-terminated silica changed from 0.25 to 0.88 when the humidity changed from 0 to 98 %. On hydrophobized glass, TMAC changed from 0.20 to 0.56 in the same range. The effect of the gas on TMAC was measured for five different gases (helium, nitrogen, argon, carbon dioxide, hexafluoride sulfur) on octadecyltrichlorosilane-coated glass surfaces. A lower TMAC occurred for greater molar mass, and this trend was explained using a simple model representing both the gas and the monolayer by spheres. The existence of this gas-dependent difference in TMAC suggests that gases can be separated based on their collisions with surfaces. Methods for controlling the flow boundary condition were also developed by adsorbing monolayers on the solid, and altering the monolayers in situ. Both temperature and electric fields altered the boundary condition, and these changes were attributed to changes in the surface roughness. The effect of roughness was modeled with grooved surfaces. Possible applications of this effect of roughness include changing the flow of aerosol droplets for deeper delivery of therapeutic drugs into the lung.<br>Ph. D.
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Hosseini, Seyed Alireza. "MODELING PARTICLE FILTRATION AND CAKING IN FIBROUS FILTER MEDIA." VCU Scholars Compass, 2011. http://scholarscompass.vcu.edu/etd/2530.

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This study is aimed at developing modeling methodologies for simulating the flow of air and aerosol particles through fibrous filter media made up of micro- or nano-fibers. The study also deals with modeling particle deposition (due to Brownian diffusion, interception, and inertial impaction) and particle cake formation, on or inside fibrous filters. By computing the air flow field and the trajectory of airborne particles in 3-D virtual geometries that resemble the internal microstructure of fibrous filter media, pressure drop and collection efficiency of micro- or nano-fiber filters are simulated and compared with the available experimental studies. It was demonstrated that the simulations conducted in 3-D disordered fibrous domains, unlike previously reported 2-D cell-model simulations, do not need any empirical correction factors to closely predict experimental observations. This study also reports on the importance of fibers’ cross-sectional shape for filters operating in slip (nano-fiber filters) and no-slip (micro-fiber filters) flow regimes. In particular, it was found that the more streamlined the fiber geometry, the lower the fiber drag caused by a nanofiber relative to that generated by its micron-sized counterpart. This work also presents a methodology for simulating pressure drop and collection efficiency of a filter medium during instantaneous particle loading using the Fluent CFD code, enhanced by using a series of in-house subroutines. These subroutines are developed to allow one to track particles of different sizes, and simulate the formation of 2-D and 3-D dendrite particle deposits in the presence of aerodynamic slip on the surface of the fibers. The deposition of particles on a fiber and the previously deposited particles is made possible by developing additional subroutines, which mark the cells located at the deposition sites and modify their properties to so that they resemble solid or porous particles. Our unsteady-state simulations, in qualitative agreement with the experimental observations reported in the literature, predict the rate of increase of pressure drop and collection efficiency of a filter medium as a function of the mass of the loaded particles.
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Fisher, Charles Edward. "The Effects of a Navier-Slip Boundary Condition on the Flow of Two Immiscible Fluids in a Microchannel." Digital WPI, 2013. https://digitalcommons.wpi.edu/etd-theses/294.

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We consider the flow of two immiscible fluids in a thin inclined channel subject to gravity and a change in pressure. In particular, we focus on the effects of Navier slip along the channel walls on the long-wave linear stability. Of interest are two different physical scenarios. The first corresponds to two incompressible fluid layers separated by a sharp interface, while the second focuses on a more dense fluid below a compressible gas. From a lubrication analysis, we find in the first scenario that the system is stable in the zero-Reynolds number limit with the slip effects modifying the decay rate of the stable perturbation. In the case of the Rayeligh-Taylor problem, slip along the less dense fluid wall has a destabilizing effect. In the second scenario, fluid inertia is pertinent, and we find neutral stability criteria are not significantly affected with the presence of slip.
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Nakano, Hiroyoshi. "Singular behavior near surfaces: boundary conditions on fluids and surface critical phenomena." Kyoto University, 2019. http://hdl.handle.net/2433/242589.

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Ding, Jian. "Fast Boundary Element Method Solutions For Three Dimensional Large Scale Problems." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/6830.

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Efficiency is one of the key issues in numerical simulation of large-scale problems with complex 3-D geometry. Traditional domain based methods, such as finite element methods, may not be suitable for these problems due to, for example, the complexity of mesh generation. The Boundary Element Method (BEM), based on boundary integral formulations (BIE), offers one possible solution to this issue by discretizing only the surface of the domain. However, to date, successful applications of the BEM are mostly limited to linear and continuum problems. The challenges in the extension of the BEM to nonlinear problems or problems with non-continuum boundary conditions (BC) include, but are not limited to, the lack of appropriate BIE and the difficulties in the treatment of the volume integrals that result from the nonlinear terms. In this thesis work, new approaches and techniques based on the BEM have been developed for 3-D nonlinear problems and Stokes problems with slip BC. For nonlinear problems, a major difficulty in applying the BEM is the treatment of the volume integrals in the BIE. An efficient approach, based on the precorrected-FFT technique, is developed to evaluate the volume integrals. In this approach, the 3-D uniform grid constructed initially to accelerate surface integration is used as the baseline mesh to evaluate volume integrals. The cubes enclosing part of the boundary are partitioned using surface panels. No volume discretization of the interior cubes is necessary. This grid is also used to accelerate volume integration. Based on this approach, accelerated BEM solvers for non-homogeneous and nonlinear problems are developed and tested. Good agreement is achieved between simulation results and analytical results. Qualitative comparison is made with current approaches. Stokes problems with slip BC are of particular importance in micro gas flows such as those encountered in MEMS devices. An efficient approach based on the BEM combined with the precorrected-FFT technique has been proposed and various techniques have been developed to solve these problems. As the applications of the developed method, drag forces on oscillating objects immersed in an unbounded slip flow are calculated and validated with either analytic solutions or experimental results.
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Kezirian, Michael Tevriz. "Hydrodynamics with a wall-slip boundary condition for a particle moving near a plane wall bounding a semi-infinite viscous fluid." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/68269.

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Chatchaidech, Ratthaporn. "Lubrication Forces in Polydimethylsiloxane (PDMS) Melts." Thesis, Virginia Tech, 2011. http://hdl.handle.net/10919/34085.

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The flow properties of polydimethylsiloxane (PDMS) melts at room temperature were studied by measurement of lubrication forces using an Atomic Force Microscopy (AFM) colloidal force probe. A glass probe was driven toward a glass plate at piezo drive rates in the range of 12 â 120 μm/s, which produced shear rates up to ~10<sup>4</sup> s-1. The forces on the probe and the separation from the plate were measured. Two hypotheses were examined: (1) when a hydrophilic glass is immersed in a flow of polymer melt, does a thin layer of water form at the glass surface to lubricate the flow of polymer and (2) when a polymer melt is subject under a shear stress, do molecules within the melt spatially redistribute to form a lubrication layer of smaller molecules at the solid surface to enhance the flow? To examine the effect of a water lubrication layer, forces were compared in the presence and the absence of a thin water layer. The presence of the water layer was controlled by hydrophobization of the solid. In the second part, the possibility of forming a lubrication layer during shear was examined. Three polymer melts were compared: octamethyltrisiloxane (OMTS, n = 3), PDMS (n <sub>avg</sub> = 322), and a mixture of 70 weight% PDMS and 30 weight% OMTS. We examined whether the spatial variation in the composition of the polymer melt would occur to relieve the shear stress. The prediction was that the trimer (OMTS) would become concentrated in the high shear stress region in the thin film, thereby decreasing the viscosity in that region, and mitigating the shear stress.<br>Master of Science
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Books on the topic "Slip boundary condition"

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Zajączkowski, Wojciech M. Global special regular solutions to the Navier-Stokes equations in axially symmetric domains under boundary slip conditions. Institute of Mathematics, Polish Academy of Sciences, 2005.

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Charlaix, E., and L. Bocquet. Hydrodynamic slippage of water at surfaces. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789352.003.0004.

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The boundary condition (B.C.) for hydrodynamic flows at solid surfaces is usually assumed to be that of no slip. However a number of molecular simulations and experimental investigations over the last two decades have demonstrated violations of the no-slip B.C., leading to hydrodynamic slippage at solid surfaces. In this short review, we explore the molecular mechanisms leading to hydrodynamic slippage of water at various surfaces and discuss experimental investigations allowing us to measure the so-called slip length
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Escudier, Marcel. Kinematic description of fluids in motion and approximations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0006.

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In this chapter some of the terminology and simplifications which enable us to begin to describe and analyse practical fluid-flow problems are introduced. The terms ‘fluid particle’ and ‘streamline’ are defined. The principle of conservation of mass applied to steady one-dimensional flow through a streamtube of varying cross-sectional area resulted in the continuity equation. This important equation relates mass flowrate ṁ, volumetric flowrate Q̇, average fluid velocity V̄, fluid density ρ‎, and cross-sectional area A: m = ρ‎ Q̇ = ρ‎AV̅ = constant. For a constant-density fluid this result shows that fluid velocity increases if the cross-sectional area decreases, and vice versa. The no-slip boundary condition, a consequence of which is the boundary layer, is introduced.
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Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions. Polska Akademia Nauk, Instytut Matematyczny, 2002.

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T. Wave Phenomena. Courier Dover Publications, 2014.

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Book chapters on the topic "Slip boundary condition"

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Lauga, Eric, Michael Brenner, and Howard Stone. "Microfluidics: The No-Slip Boundary Condition." In Springer Handbook of Experimental Fluid Mechanics. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-30299-5_19.

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Kreml, Ondřej, Václav Mácha, Šárka Nečasová, Tomasz Piasecki, and Aneta Wróblewska-Kamińska. "Barotropic Viscous Fluid with Slip Boundary Condition." In Advances in Mathematical Fluid Mechanics. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-83324-3_4.

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Marušić-Paloka, Eduard. "A Note on Slip Condition on Corrugated Boundary." In Applied Mathematics and Scientific Computing. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-4532-0_13.

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Schweizer, Ben. "Homogenization of a Free Boundary Problem: The no-Slip Condition." In Multiscale Problems in Science and Technology. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-642-56200-6_13.

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Piasecki, Tomasz, and Milan Pokorný. "Steady Compressible Navier–Stokes–Fourier System with Slip Boundary Condition for the Velocity and Dirichlet Boundary Condition for the Temperature." In Fluids Under Control. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-27625-5_8.

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Straughan, Brian. "Convection with Slip Boundary Conditions." In Advances in Mechanics and Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_9.

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Busuioc, Adriana Valentina, and T. S. Ratiu. "A Fluid Problem with Navier-Slip Boundary Conditions." In Advances in Mechanics and Mathematics. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-90-481-9577-0_14.

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Alshehri, Hashim, Nesreen Althobaiti, and Jian Du. "Low Reynolds Number Swimming with Slip Boundary Conditions." In Lecture Notes in Computer Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-50426-7_12.

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Zhou, Jiajia, Jens Smiatek, Evgeny S. Asmolov, Olga I. Vinogradova, and Friederike Schmid. "Application of Tunable-Slip Boundary Conditions in Particle-Based Simulations." In High Performance Computing in Science and Engineering ‘14. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10810-0_2.

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Goodair, Daniel. "General Solution Theory for the Stochastic Navier-Stokes Equations." In Mathematics of Planet Earth. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-70660-8_4.

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AbstractWe demonstrate how solutions to the incompressible Navier-Stokes Equations with transport and advection noise can be recovered through recent developments in the solution theory for stochastic partial differential equations (SPDEs). Local-in-time and global-in-time results are presented. Applications to the Stochastic Navier-Stokes Equations posed on the torus and a smooth bounded domain are detailed; in the latter case, both the no-slip and Navier boundary conditions are considered. Martingale weak solutions in 3D and weak solutions in 2D are proven in all cases. In 2D, strong solutions for the torus and Navier boundary are shown, whilst local strong solutions on the torus in 3D are also retrieved.
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Conference papers on the topic "Slip boundary condition"

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Young, George A., Jr., and John R. Scully. "Internal Hydrogen Embrittlement of Solution Heat Treated and Aged." In CORROSION 1994. NACE International, 1994. https://doi.org/10.5006/c1994-94247.

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Abstract The effects of electrochemically introduced hydrogen on the room temperature mechanical properties of two B titanium alloys, Ti-15V-3Cr-3Al-3Sn and Ti-15Mo-3Nb-3Al are compared. Solution heat treated (SHT), peak aged (PA), and duplex aged (DA) conditions are investigated using notched tensile bars and Bridgman’s analysis of longitudinal stress and average effective plastic strain. Ti-15Mo-3Nb-3Al is more susceptible to hydrogen embrittlement than Ti-15V-3Cr- 3Al-3Sn based on reductions in longitudinal stress, plastic strain, and changes in fracture mode at hydrogen concentrations above 1000 wt ppm. Hydriding of the α and β phases was not observed over the range of hydrogen concentrations investigated. Instead, changes in fracture paths with hydrogen are correlated with deformation behavior and α precipitation. The susceptibility of Ti- 15Mo-3Nb-3Al is attributed to a high temperature, long time solution treatment which affects deformation behavior in the SHT condition and promotes grain boundary α precipitation in the PA condition. The high temperature solution treatment removes α nucleation sites from grain interiors and promotes planar slip. Subsequent α precipitation occurs preferentially on β grain boundaries and, lastly, in grain interiors resulting in fine intragranular precipitates. It is hypothesized that fine intragranular α plates as well as aligned boundary α colonies are readily sheared and also promote planar slip in the PA condition. In contrast, a lower temperature, shorter duration solution treatment for Ti-15V-3Cr-3Al-3Sn results in wavy slip and more homogeneous, slightly coarser α precipitates upon aging, which may be less prone to slip localization by dislocation shearing. Localized planar slip and grain boundary α colonies are believed to promote both internal hydrogen embrittlement and aqueous environmentally assisted cracking.
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Kumar, R. Vijaya, Khaja Hassan, and G. Srinivas. "Multiple Slip Influence on Maxwell Fluid Flow Around a Porous Vertical Cone with Addition of Nanofluid Particles: MHD and Convective Boundary Condition." In 2025 International Conference on Computational, Communication and Information Technology (ICCCIT). IEEE, 2025. https://doi.org/10.1109/icccit62592.2025.10928040.

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Nieto, César, Henry Power, Mauricio Giraldo, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Boundary Integral Equation Approach for Stokes Flow with Non-Linear Slip Boundary Condition." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3497909.

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Mele, Benedetto, and Renato Tognaccini. "Slip length based boundary condition for modeling drag reduction devices." In 47th AIAA Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-3118.

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Lockerby, D. A. "Geometric and constitutive dependence of Maxwell’s velocity slip boundary condition." In RAREFIED GAS DYNAMICS: 24th International Symposium on Rarefied Gas Dynamics. AIP, 2005. http://dx.doi.org/10.1063/1.1941621.

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Uth, Marc-Florian, Alf Crüger, and Heinz Herwig. "A New Partial Slip Boundary Condition for the Lattice-Boltzmann Method." In ASME 2013 11th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icnmm2013-73026.

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In micro or nano flows a slip boundary condition is often needed to account for the special flow situation that occurs at this level of refinement. A common model used in the Finite Volume Method (FVM) is the Navier-Slip model which is based on the velocity gradient at the wall. It can be implemented very easily for a Navier-Stokes (NS) Solver. Instead of directly solving the Navier-Stokes equations, the Lattice-Boltzmann method (LBM) models the fluid on a particle basis. It models the streaming and interaction of particles statistically. The pressure and the velocity can be calculated at every time step from the current particle distribution functions. The resulting fields are solutions of the Navier-Stokes equations. Boundary conditions in LBM always not only have to define values for the macroscopic variables but also for the particle distribution function. Therefore a slip model cannot be implemented in the same way as in a FVM-NS solver. An additional problem is the structure of the grid. Curved boundaries or boundaries that are non-parallel to the grid have to be approximated by a stair-like step profile. While this is no problem for no-slip boundaries, any other velocity boundary condition such as a slip condition is difficult to implement. In this paper we will present two different implementations of slip boundary conditions for the Lattice-Boltzmann approach. One will be an implementation that takes advantage of the microscopic nature of the method as it works on a particle basis. The other one is based on the Navier-Slip model. We will compare their applicability for different amounts of slip and different shapes of walls relative to the numerical grid. We will also show what limits the slip rate and give an outlook of how this can be avoided.
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Chen, Tianrun, Michael Fehler, Xinding Fang, Xuefeng Shang, and Dan Burns. "SH wave scattering from fractures using boundary element method with linear slip boundary condition." In SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, 2011. http://dx.doi.org/10.1190/1.3627802.

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Tretheway, Derek C., Luoding Zhu, Linda Petzold, and Carl D. Meinhart. "Examination of the Slip Boundary Condition by µ-PIV and Lattice Boltzmann Simulations." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33704.

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This work examines the slip boundary condition by Lattice Boltzmann simulations, addresses the validity of the Navier’s hypothesis that the slip velocity is proportional to the shear rate and compares the Lattice Boltzmann simulations to the experimental results of Tretheway and Meinhart (Phys. of Fluids, 14, L9–L12). The numerical simulation models the boundary condition as the probability, P, of a particle to bounce-back relative to the probability of specular reflection, 1−P. For channel flow, the numerically calculated velocity profiles are consistent with the experimental profiles for both the no-slip and slip cases. No-slip is obtained for a probability of 100% bounce-back, while a probability of 0.03 is required to generate a slip length and slip velocity consistent with the experimental results of Tretheway and Meinhart for a hydrophobic surface. The simulations indicate that for microchannel flow the slip length is nearly constant along the channel walls, while the slip velocity varies with wall position as a results of variations in shear rate. Thus, the resulting velocity profile in a channel flow is more complex than a simple combination of the no-slip solution and slip velocity as is the case for flow between two infinite parallel plates.
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Thalakkottor, Joseph John. "Extending the thermal slip boundary condition at the solid-fluid interface." In 2022 21st IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (iTherm). IEEE, 2022. http://dx.doi.org/10.1109/itherm54085.2022.9899549.

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Venkatesan, Jagannath, and Sashikumaar Ganesan. "On the Navier-Slip Boundary Condition for Computations of Impinging Droplets." In 2015 IEEE 22nd International Conference on High Performance Computing Workshops (HiPCW). IEEE, 2015. http://dx.doi.org/10.1109/hipcw.2015.10.

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